Variational optimization problems for equations of hyperbolic type. (English. Russian original) Zbl 0261.49005
J. Appl. Math. Mech. 36, 545-555 (1972); translation from Prikl. Mat. Mekh. 36, 578-588 (1972).
MSC:
| 49J20 | Existence theories for optimal control problems involving partial differential equations |
References:
| [1] | Egorov, A. I., On optimum control of processes in distributed objects, PMM, Vol. 27, N≗4 (1963) · Zbl 0133.05601 |
| [2] | Egorov, A. I., Necessary optimality conditions for distributed-parameter systems, Mat. Sb., Vol. 68, N≗3 (1966) · Zbl 0163.11305 |
| [3] | Troitskii, V. A., The Mayer-Bolza problem of the calculus of variations in the theory of optimum systems, PMM, Vol. 25, N≗4 (1961) · Zbl 0105.07703 |
| [4] | Troitskii, V. A., On variational problems of optimization of control processes, PMM, Vol. 26, N≗1 (1962) · Zbl 0215.21904 |
| [5] | Lur’e, K. A., Optimal problems for distributed systems, (Proc. Third All-Union Conf. Automatic Control (Engineering Cybernetics) (1967), Nauka: Nauka Moscow) · Zbl 0133.05502 |
| [6] | Courant, R.; Hilbert, D., Methods of Mathematical Physics, Vol. 2 (1945), Moscow-Leningrad · Zbl 0729.00007 |
| [7] | Polozhii, G. I., Equations of Mathematical Physics (1964), Vysshaya Shkola: Vysshaya Shkola Moscow · Zbl 0122.32903 |
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